A diaper caddie for where you will be most often. We had one in the bedroom where DD slept in the swing and one in the living room, a centralized location.
Also, keep your needed items nearby. Like others said, you'll want the remote, cell phone, water whatever within arms reach every time you settle in.
SWADDLES! Or, the 5 S's (swaddle, side, shush, swing, suck)
Canadian Nipple Cream.. Sounds crazy but this stuff works!
Crossbody snap teeshirts. It was nerve wracking trying to get DD little head and arms thru the onesies. The teeshirts were sooo much easier.
Nail file. Their nails aren't separated from the skin, so cutting is extremely dangerous. They will scratch themselves if you don't keep the nails dull. Also, Lansolin gel works wonders on baby face scratches...
Best of luck!